Regularized Gap Functions and Error Bounds for Split Generalized Mixed Vector Equilibrium Problems on Hadamard Manifolds
Abstract
ABSTRACT In this article, we introduce a split generalized mixed vector equilibrium problem on Hadamard manifolds. We construct a gap function and a generalized regularized gap function for this problem. Furthermore, we derive an error bound for the considered problem in terms of generalized regularized gap function. Furthermore, we illustrate the results through some examples. The concepts and results presented in this article extend and unify the existing results in the literature.
Fields of Study & Subjects
Optimization and Variational Analysis
Nonlinear Differential Equations Analysis
Stability and Control of Uncertain Systems
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 8
- Pages
- 8074–8094
- Publication date
- 5 January 2026
- Language
- EN